https://r2.erweima.ai/mathbot/image/17264496297772clf0ehc.jpg

The image shows a 3D composite figure, and we are asked to calculate its volume. The figure consists of two rectangular prisms stacked on top of each other.

### Step 1: Split the figure into two parts
- **Bottom part**: A rectangular prism with dimensions:
  - Height = 1 cm
  - Width = 7 cm
  - Depth = 6 cm

- **Top part**: A smaller rectangular prism on top of the bottom one with dimensions:
  - Height = 3 cm (since the total height is 4 cm and the bottom part is 1 cm)
  - Width = 3 cm
  - Depth = 6 cm

### Step 2: Calculate the volume of each part
- **Volume of the bottom part**:  
  \[
  V_{\text{bottom}} = \text{Height} \times \text{Width} \times \text{Depth} = 1 \, \text{cm} \times 7 \, \text{cm} \times 6 \, \text{cm} = 42 \, \text{cm}^3
  \]

- **Volume of the top part**:  
  \[
  V_{\text{top}} = \text{Height} \times \text{Width} \times \text{Depth} = 3 \, \text{cm} \times 3 \, \text{cm} \times 6 \, \text{cm} = 54 \, \text{cm}^3
  \]

### Step 3: Add the volumes
The total volume is the sum of the volumes of both parts:
\[
V_{\text{total}} = V_{\text{bottom}} + V_{\text{top}} = 42 \, \text{cm}^3 + 54 \, \text{cm}^3 = 96 \, \text{cm}^3
\]

Thus, the volume of the figure is **96 cm³**.

Do you need further details or clarifications?

Here are 5 related questions to expand your understanding:
1. How would the volume change if the top part's height increased by 2 cm?
2. What is the surface area of the figure?
3. How can you calculate the volume of more complex 3D shapes composed of different figures?
4. What happens to the volume if all the dimensions of the figure are doubled?
5. How do you calculate the volume of irregular shapes?

**Tip**: Always double-check your unit consistency when calculating volume or surface area.

Calcula el volumen de la siguiente figura: (Composite 3D figure of two stacked rectangular prisms).

Learn how to calculate the volume of a composite 3D figure composed of two stacked rectangular prisms. The figure's dimensions are provided for both parts, and the total volume is found by adding the volumes of each part. Suitable for students in Grades 6-8.

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